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Join experts in discussion of calculus topics. This may include topics on Elementary functions, Calculating limits, derivatives and integrals. Optimization problems and Homework help is available.
Graduate Puiseux/Taylor Expansion of an Integrand pre-Integration
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Graduate Where can I find references for Continuous Wave Transform?
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Undergrad What is the limit of x^(1/log(x)) as x approaches infinity?
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Undergrad Can Every Indeterminate Form Be Evaluated?
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Undergrad Draw the graph of arctan((x-1)/(x+1))
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Graduate Regarding Schwartz inequality and integration bounds
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MHB Logarithmic Integral Calc: $$\int_{0}^{1}\ln\left(1+\sqrt{1-x^2}\right)dx$$
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MHB How to solve certain kind of integral
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Undergrad Prove e^ln(a)*b = a^b: Intuitive Proof
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Graduate Is the Limit of a Function at a Point Always Unique?
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Graduate How Does the Curl of Current Density Derive This Expression?
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MHB Integral substitution for a polynomial function
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Undergrad Proof for {lim of exp = exp of lim}
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Undergrad Can Trig Substitution with Cosine be Used Instead of Sine?
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Graduate Fourier transform with complex variables
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Graduate What Is the Role of Divergence in Vector Calculus?
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MHB Integral $$\sin^7\left({x}\right)$$ from -1 to 1: Solution Explained
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Undergrad How can Arctan and ln be used to simplify the integral of (x+1)/(x^2+4x+5)?
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Undergrad Limit of and Sin(9x)/x and 1/Cos(9x)
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MHB Integrating $\cos(u)\cos(\sin(u))$
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MHB Calculation of a surface integral
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Graduate Surface area of a spherical cap by integration
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Undergrad Integral Equations curiosity question
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MHB Solving for d^2y/dt^2: Finding d^2y/dt^2 with dx/dt=1/2
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MHB Help on Related Rates implicit differentiation
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Graduate Solving Divergence Problem of $\vec{B}(x,y,z)$
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Graduate Deriving B.31 in PDF on Squared-Angular Momentum
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MHB Real Valued Functions on R^3 - Chain Rule ....?
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Graduate Is there a closed form for this?
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Graduate How to Differentiate an Integral Involving a Probability Density Function?
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Undergrad Discover the Limit of x^2 as x Approaches Infinity | Calculate with Ease
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MHB Please help me find Fourier series mistake
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Undergrad Can someone explain the Taylor's Theorem error bound?
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Undergrad Infinite series as the limit of its sequence of partial sums
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Graduate Help with difficult (?) integration
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MHB Please check Cauchy Integral Formula excercise
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MHB Integrating Fouries series problem
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MHB Please check this convergence test
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Graduate An inconsistent conservative vector field
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Graduate General Solution from Particular Solution
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Graduate Impossible Integration involving cosx/sqrt(a-bcosx)
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Graduate Will epsilon delta test fail if curve changed direction?
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Graduate Do I need to integrate twice for calculating velocity in Kerbal Space Program?
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Undergrad Double Integrals: Interchangeability and Improper Integration Explained
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Graduate Euler Lagrange Derivation (Taylor Series)
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Undergrad Summing a Function Value Over an Interval
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Graduate How to Optimize a Functional with Nested Integrals in Calculus of Variations?
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MHB Are local min/max of a cubic function determined by the zeros alone?
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MHB Analyzing $f(z) = e^{-\frac{1}{z}}$: Analytic Region & Derivative
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MHB How Does the Function $f(x) = \frac{1}{g(x)}$ Behave?
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Undergrad Finding Volumes of Sphere & Circular Cone: Alpha from 0 to Pi
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MHB Please check this convergence test (#2)
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Graduate How Can One Solve This Complex Trigonometric Integral Analytically?
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MHB Limit of (sqrt(16x^4+64x^2)) /(2x^2_4)
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Graduate The rigor of using differentials in line elements
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Graduate Approximation with small parameter
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MHB Why iπ in Contour Integration for Improper Integral Involving ln?
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Undergrad Solving a Recurrence Relation Using Induction: Step-by-Step Guide
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Undergrad Unpacking the Implication of a Formula: n=2
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Undergrad Unusual Limit: Understanding the Discrepancy in the Integral of xe^-x
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Graduate Can Complex Derivatives Clarify Div and Curl Properties?
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MHB Finding the Spherical Polar Fourier Transform with Variable Change
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Undergrad Converging Series: Comparison Test w/ 1/n^2
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Undergrad How to Solve Limits Involving Square Roots and Infinity?
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Undergrad Integration where am I going wrong?
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Undergrad Understanding Limits - Spivak Calculus
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MHB Understanding R-1/R and its Equivalence
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Graduate Geometric proof cross product distributes over addition
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Graduate Spivak Thomae's Function proof explanation
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MHB Solving 3r(r+1)=r(r+1)(r+2)-r(r-1)(r+1) and Finding r(r+1) Sum
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MHB Sightseeing boat and writing equation
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Undergrad Calculating the Volume of a Rotated Solid Using Calculus
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Graduate Area of a sector is the integral of arc length?
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MHB What is the solution to the integral without an equation?
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Undergrad Is ln(x) differentiable at negative x-axis
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Graduate The point of the Euler-Lagrange equation?
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Graduate Difficult Integral Question: Need Help Solving LaTeX Code
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MHB Solving for $k$: $\pi\int_{-1}^{1} u\left(x\right)^2 \,dx = 6\pi$
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High School Why can "dx" in integration be multiplied?
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Undergrad Approximating θ/2 as θ for small angles: Is the error significant?
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Graduate Can the Nabla Operator Be Applied Before Inversion in Tensor Calculations?
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MHB Particle Velocity at Instaneous Rest: 3${t}^{2}-{t}^{2}+C$
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MHB Particle Velocity: Find $|v(2)|$ & $s(2)$
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High School Simplifying Trigonometric Antiderivative using Right Triangles?
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Graduate Greeks, Circles, Small Straight lines and Calculus
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Undergrad Odd/Even functions and integration of them
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MHB Confirming $\arcsin(-\sin(\frac{3\pi}{2}))$
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MHB A particle traveling in a strainght line passes a fixed point O
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Please help me in reading a mathematical handwriting
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MHB How do I differentiate $\cos(x+y)$?
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Graduate Implications of varying the definition of the derivative?
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MHB Why is $U_n$ greater than $\frac{A}{n}$ for large enough values of $n$?
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Undergrad Why do we need to imagine a varied path in the calculus of variations?
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MHB What Are the First Two Terms of sin(sin(2x))?
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Undergrad Is this integral formula correct?
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MHB Another particle moving in a straight line problem
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Undergrad Is the function differentiable at x = p?
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MHB Which Laurent Series for $\frac{1}{z(z+2)}$ in the Region $1 < |z-1| < 3$?
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Undergrad Limit of function with two variables
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MHB How Is the Inverse Hyperbolic Tangent Derived from Its Definition?
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